Nineteen of the Russian's 21 titles have been won on hard courts
A revitalized Medvedev won his initial title for 882 days with victory over Frenchman Moutet in the competition title decider.
The Russian, a ex- number one, has had a torrid year, managing just one match at the Grand Slams and undergoing a difficult moment at the American major.
His inconsistency on the ATP Tour - and difficulties with his serving in particular - led to him dropping out of the world's top 10 and finally separating with former trainer Cervara.
Now collaborating with Thomas Johansson and his other coach, he has steadily progressed in the last few weeks - culminating in a tightly fought competitive triumph over Frenchman Moutet.
This represents his maiden championship following the Rome competition and first on a hard surface after that period of that year.
Success also indicates Medvedev has secured 21 victories at twenty-one distinct tournaments.
"For the first time I'm at a competition with my both daughters together, so to win a trophy is particularly special," stated ranked player the champion.
"This championship is in tribute of my younger daughter Victoria, because the initial championship I won when my older daughter her name was born was for her."
The tennis star, the former major winner, had been defeated in his past six championship matches, comprising in Halle in the past months.
Medvedev's defensive strategy and recurring outbursts on court had caused some to doubt if his skill to perform at the highest level was over.
Yet the 29-year-old has made changes in the past month, attempting to come to the net and compete positively, supported by an better serve.
He recovered from a break down in the first set against the difficult Frenchman, taking four of the concluding five exchanges to go ahead.
Both players exchanged breaks in the middle set before Moutet, bidding for his initial ATP Tour championship, took control to force a decider.
Moutet rescued 4 initial opportunities in a competitive final set before the Russian won the break to fifteen to secure the win.
Fittingly, the winner clinched victory with a rally at the front of the court, with the Frenchman incapable to handle a shot after two hours and 38 minutes.
